SOLUTION: Which is greater: 1 and 1/4rth miles in 2 minutes 4 secs. OR 1 and 3/16th miles in 1 minute 55 secs. Please show some work if possible. Ty. _kat

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Question 209939: Which is greater: 1 and 1/4rth miles in 2 minutes 4 secs. OR 1 and 3/16th miles in 1 minute 55 secs.
Please show some work if possible. Ty.
_kat
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1. I assume you want to find which one has the greater velocity=distance/time.
Step 2.
a. Distance Calculation. 1 and 1/4 is equal to 1.25=1+(1/4) where 1/4=0.25. Distance=1.25 miles.

b. Time Calculation. Time is 2 minutes and 4 secs=2*60 seconds+4 secs=124 seconds where 60 seconds=1 minute.

c. Velocity Calculation. Velocity in miles per second=1.25 miles/124 seconds which is equal to about .010081 miles/sec=(0.010081 miles/sec)*(3600 sec/hour)=36.29 miles/hour where one hour=3600 seconds.


Step 3.

a. Distance Calculation. 1 and 3/16 is equal to 1+(3/16)=16/16+3/16=19/16 miles. I put the fraction in a common denominator and 16/16=1.


b. Time Calculation. Time is 1 minute and 55 seconds=60 seconds+55 seconds=115 seconds where 1 minute=60 seconds.

c. Velocity Calculation. Velocity in miles per second is (19/16 miles)/(115 seconds)= (0.010326 miles/second)*(3600 sec/hour)=37.17 miles/hour

Step 4. Step 3c has the greater velocity than Step 2c.